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Finding the Fourth Proportional to 3,761.72, 5,641.91 and 2,202.47

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Solution

The fourth proportional to 3,761.72, 5,641.91 and 2,202.47 is: 3,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.72 : 5,641.91 = 2,202.47 : x
  2. Step 2: Convert to fraction form
    3,761.72/5,641.91 = 2,202.47/x
  3. Step 3: Cross multiply
    3,761.72x = 5,641.91 × 2,202.47
  4. Step 4: Simplify right side
    3,761.72x = 12,426,126.51
  5. Step 5: Solve for x
    x = 12,426,126.51/3,761.72
  6. Step 6: Final answer
    x = 3,303.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.